Mathematics Homework Solutions
Problem
#2493

Working with antisymmetric, transitive and partial order relations.

Let R be a relation on all real numbers x, y such that x is related to y if and only if x^2 <= y^2.  Is R antisymmetric? transitive? a partial order relation? Prove or give a counter example.


Solution Summary

This is a proof regarding a relation on real numbers.

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